The Laplace transform of L[2 sin 5t sin 4t] is_ 2s s² + (1)² s2 + (9)². 2 s2 + (1)² s² + (9)² . s + (1)² g2 + (9)² 82 + (1)² g² + (9)². The Laplace inverse of L-1 is O 1 t4 2 4 3 4! 4

Q: L[2t2 + 5 – 3 cos nt), t > 0

A: We use the Linearity property and table of Laplace transform to find the answer of the given…

Q: Chapter 7. Find the La Place Inverse Transform. 48 9-1{1/8 + A) 4t4 + 4 sin(4t) C) 2t4 + 4 sin(2t) 8…

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Q: Show that d(w) - = [6(w− 1) + 6(w+1)] is the Fourier transform of cos(t). Show that d(w) = −ix[8(w −…

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Q: Find the Fourier transform of 8(t+2) + 8(t – 2).

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Q: XP+2ap +2a') ple 23: Find the inverse Fourier sine transform f(x) of F, (P- ap

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Q: Find the Fourier transform of -et +2 cos(t). (a) -27 8(w+ 1) (b) 2n 8(w + 1) (c) -27 8(w- 1) (d) 2n…

A: To solve this problem we use the following the results and formula:

Q: Find the inverse Fourier transform of 27 + 8(w). (a) 1+ 8(t) (b) + 8(t) (c) + 27 8(t) (d) 1+2 8(t)

A: Option (c) is correct.

Q: Find the fourier serious of cos(2x)^2 on (-pi,pi)

A: We have to find the Fourier series expansion of f(x)=cos2(2x) on -π,π.   The given function…